1. If pq is odd, then p is odd and q is odd.
for this one, I had already proved that if p is odd and q is odd then pq is odd.
So in relation to this question i proved that q => p, so with a truth table I used that since p&q are the same(odd) then the reverse(p=>q) is also true.
does that sound alright?
2. if p^2 is even, then p is even.
This one im not quite sure how to prove ive tried the contrapositive:
so if p^2 is not even, the p is not even.
I substituted for p 2k+1, and tried setting it equal to 2k + 1 but my answer doesnt really make sense to me.